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Chapter 5: Q 83. (page 611)

Solve the system of equation2x+y=10-x+y=-5by substitution

Short Answer

Expert verified

The solution is 5,0.

Step by step solution

01

Step 1. Given information 

The given equations are:

2x+y=10鈰�鈰�1

role="math" localid="1647769799174" -x+y=-5鈰�鈰�2

02

Step 2. Substitute value of y from equation 1 in equation 2

From equation 1, y=10-2x

Put in equation 2

鈬�-x+10-2x=-5

03

Step 3. Solve for x

鈬�-3x=-5-10

鈬�-3x=-15

鈬�x=5

04

Step 4. Substiute value of x from step 3 in equation 2

鈬�-5+y=-5

鈬�y=-5+5

鈬�y=0

05

Step 5. Checking solution 

Now we have x=5andy=0

Put these values in equation 1

鈬�25+0=10

鈬�10=10

Also put these values in equation 2

鈬�-5+0=-5

鈬�-5=-5

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